804595968 has 216 divisors, whose sum is σ = 2582798400. Its totient is φ = 238817280.

The previous prime is 804595951. The next prime is 804595973. The reversal of 804595968 is 869595408.

It is a happy number.

804595968 is a `hidden beast` number, since 8 + 0 + 45 + 9 + 596 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1342933 + ... + 1343531.

It is an arithmetic number, because the mean of its divisors is an integer number (11957400).

Almost surely, 2^804595968 is an apocalyptic number.

804595968 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 804595968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291399200).

804595968 is an abundant number, since it is smaller than the sum of its proper divisors (1778202432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

804595968 is a wasteful number, since it uses less digits than its factorization.

804595968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The square root of 804595968 is about 28365.4008961622. The cubic root of 804595968 is about 930.0920893894.

The spelling of 804595968 in words is "eight hundred four million, five hundred ninety-five thousand, nine hundred sixty-eight".